(F32 Conway's RATS and palindromes)

Almost all nutural number seems to become palindromic
after several iteration of addition with reverse order of itself.
(I say this as "Additive Palindromicness of Natural Numbers".)

For example, in case of 76,

76 + 67 = 143

143 + 341 = 484

after 2 iterations, 76 becomes palindromic.

Following problems are still unsolved.

- Proof or counter example of which always become palindromic or not after finite iteration
- Is
**196**palindromic ? - How about
**879**? Are 196 and 879 same series or not ? - The number which becomes palindromic after many iterations

In order to understand this problems, please challenge the following questions

- Q1 : Additive palindromicness of 89
- Q2 : Additive palindromicness of 196
- Q3 : Find a number which requires much more iterations than that of 89

- Addition with reverse of itself
- Program
- Result of computation and change of plan
- Conclusion
- Complement

Chapter 5 Repeating decimals |
"Mathematician's Secret Room" | Chapter 7 Collatz conjecture |
---|---|---|

Chapter 5 (Japanese) | index (Japanese) | Chapter 7 (Japanese) |

E-mail : kc2h-msm@asahi-net.or.jpHisanori Mishima